Definitions:
1. A real number can be represented on a number line.
2. A rational number can be represented as a fraction, with both the numerator and denominator as integers. The denominator cannot be zero.
3. An irrational number has decimals that go on indefinitely.
4. An integer is a real number that is countable.
5. A repeating decimal has a group of numbers that repeat indefinitely as decimals.
6. A complex number involves the use of the quantity i, defined as i² = -1.
Answers:
a. 7/8
Real, Rational.
b. √36
Real, Rational because its value is +6 or -6.
c. √24
Real, Irrational.
d. 0.75
Real, rational because 0.75 = 3/4.
e. 0
Real, rational
f. √(-100)
Complex, because √(-1) * √100 = +/- i√100
g. [tex]5.\overline{45}[/tex]
Irrational, Repeating decimal because
[tex]5.\overline{45} = 5.4545454545 ...[/tex]
h -18/6
Real, Integer, Rational because -18/6 = -3.
